S={(1,2,0),(2,1,3),(1,1,1),(2,3,1)} is defined in R3. find a linearly independent subset S1 of S such that,L(S1)=L(S).
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Originally Posted by sbcd90 S={(1,2,0),(2,1,3),(1,1,1),(2,3,1)} is defined in R3. find a linearly independent subset S1 of S such that,L(S1)=L(S). $\displaystyle s_1=s_4-s_3$ $\displaystyle s_2=4s_3-s_4$ and obviously $\displaystyle L(S)$ is 2-dimensional, so $\displaystyle L(\{s_3,s_4\})=L(S)$ CB
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